5250754656 has 144 divisors (see below), whose sum is σ = 17526416544. Its totient is φ = 1459648512.

The previous prime is 5250754637. The next prime is 5250754681. The reversal of 5250754656 is 6564570525.

5250754656 is a `hidden beast` number, since 5 + 2 + 50 + 7 + 546 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39396 + ... + 109788.

It is an arithmetic number, because the mean of its divisors is an integer number (121711226).

Almost surely, 2^5250754656 is an apocalyptic number.

5250754656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5250754656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763208272).

5250754656 is an abundant number, since it is smaller than the sum of its proper divisors (12275661888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5250754656 is a wasteful number, since it uses less digits than its factorization.

5250754656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70453 (or 70442 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The square root of 5250754656 is about 72462.0911649671. The cubic root of 5250754656 is about 1738.0965947824.

The spelling of 5250754656 in words is "five billion, two hundred fifty million, seven hundred fifty-four thousand, six hundred fifty-six".